On e-cuspidal pairs of finite groups of exceptional Lie type

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Ruwen Hollenbach

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OriginalspracheEnglisch
Aufsatznummer106781
FachzeitschriftJournal of Pure and Applied Algebra
Jahrgang226
Ausgabenummer1
Frühes Online-Datum24 Mai 2021
PublikationsstatusVeröffentlicht - Jan. 2022

Abstract

Let G be a simple, simply connected algebraic group of exceptional type defined over Fq with Frobenius endomorphism F:G→G. Let ℓ∤q be a good prime for G. We determine the number of irreducible Brauer characters in the quasi-isolated ℓ-blocks of GF. This is done by proving that generalized e-Harish-Chandra theory holds for the Lusztig series associated to quasi-isolated elements of G⁎F.

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On e-cuspidal pairs of finite groups of exceptional Lie type. / Hollenbach, Ruwen.
in: Journal of Pure and Applied Algebra, Jahrgang 226, Nr. 1, 106781, 01.2022.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Hollenbach R. On e-cuspidal pairs of finite groups of exceptional Lie type. Journal of Pure and Applied Algebra. 2022 Jan;226(1):106781. Epub 2021 Mai 24. doi: 10.48550/arXiv.1905.10754, 10.1016/j.jpaa.2021.106781
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